March 2012 - Fractint - mailman.xmission.com

circular center
by Sebastien Helie 08 Mar '12

08 Mar '12

NIce and ritch reaction, last night i redo a mandel_brot base program, and had a interesting screen reaction, moiree effect thru windows. START PARAMETER FILE============================ superb { ; calculation time 0:00:24.76 reset=2004 type=formula formulafile=2012_3.frm formulaname=zboot1 center-mag=-0.00000000544430558/+0.64407300000000000/133.3333 params=-2/0 float=y inside=0 potential=120/200/4 colors=0000000e00eee00<7>K00H00F00<3>300000204<7>I0`K0eM0i<3>V0zj0zz0z<3\ >z00zG0<8>Q70L60H50<3>000<5>JG9MJAPLC<3>`XId_KgaLjdN<4>QNDLJBHF9<3>000<7\ >55M66P77R<3>AAbBBeDDe<3>PPeRReUUe<3>eee<4>Ta_Q`Y000<2>000CWR<3>0SL0SS<2\ >07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQ\ KSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04\ G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FB\ GGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:ZBOOT1{;SINPIX A=REAL(P1)+IMAG(P1) Z=C=PIXEL: Z=(A)+SQR(Z)^A^C^PIXEL |z|<4 } END PARAMETER FILE========================================== -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/

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FOTD 07-03-12 (Purple Pilgrimage [7])
by Jim Muth 08 Mar '12

08 Mar '12

FOTD -- March 07, 2012 (Rating 7) Fractal visionaries and enthusiasts: I named today's image "Purple Pilgrimage", a phrase that appears to have deep meaning but actually means nothing. The generating formula subtracts Z^(-0.5) from Z^(1.5) on each iteration before adding (1/C). This unlikely expression creates no single parent fractal, but rather a field of scattered debris filled with tiny Mandelbrot sets. Two relatively large M-sets dominate the field, with today's scene located near the east valley of the smaller of the two. The scattered-debris appearance of the parent fractal is reflected in the pattern surrounding the tiny minibrot at the center of today's image. This debris is filled with even tinier minibrots, etc., etc., all the way to infinity. Unfortunately, all these even tinier minibrots are well beyond resolution, at least in the present-day Fractint for DOS. I rated the image at a 7, which is FOTD average. The main drawback is the colors, which are brilliant enough, but at least in my opinion, do not blend together harmoniously enough for a higher rating. The calculation time of 45 seconds is only a slight delay. This delay in finding satisfaction may be avoided however by visiting the FOTD web sites. For maximum convenience, the finished image is available on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire library of images is online at: <http://www.Nahee.com/FOTD/> Near total sun and a temperature of 61F 16C made today the most spring-like so far this year here at Fractal Central. The fractal cats took to their sunny shelf in the southwest window, and with the house heat turned off, stayed there all afternoon. The humans, FL and I, after agreeing to disagree on a couple minor political points, had an uneventful day of doing the commercial work and working on fractals. The next FOTD will be posted in 24 hours. Until then, take care, and it's tough having a middle-of-the-road political view in a world of social progressives and religious fundamentalists. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Purple_Pilgrimage { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.749538453714277/+1.909375078220021/\ 1.462337e+012/1/85/0 params=1/1.5/-1/-0.5/0/0/0/0 float=y maxiter=1800 inside=0 logmap=95 periodicity=6 mathtolerance=0.05/1 colors=00000500950EA0IF0ML1QR2UX3Yb5_h7am9cqKetWgv\ jarsWkpMKgD5Z4AS8FVCKZGPcJXgLdjMlmNroPzrQspcnocjmr\ cjvYgzYZzXdzXyzXyzSxvOxrKwmGwhCwcHrZLmmPhxLcuIZrFU\ pBPm8Kk5Fh2Af9edFgcMiaSk`ZmZdoYkqWqsVeqPVpKKoFD_E6\ LEGPBQT8ZW5h_2qb0n`2kZ4iY6fW8dVAaTC_SDbPFdNGfLIiIJ\ kGLmEMkIOVWLiMPgQQeURcYSD9NHDOLHPPLQSPRWTS_XTWKk_T\ areGpdIncKlcLjbNhaPfaQd`Sb8gwy3st8ppCllGihLedPx7Xp\ HViRUtgQqfRneRldSicSgbTdaTvIblSYDljKieQfaXcXnAXhOV\ 8gPFeQLdRRbSXaTFFIJJKNNMRQOVUQZYStO4kVHpIxnLslOnjR\ jhTefWadZXkgKs65mHDgRLLXCGtSSjT2XzLZiMTtSWjYZa`YAa\ ZEaZHa_Kb_Nb`QCkKGiMJhNNfOQePTdQXbR_aSg`Ke`Nd`Pc`R\ gHcfKaeM`ePZdRYcUXcWVbZUqQLnSNlUOiWPgYRd_Szw3nkGHp\ eKncNlaQj`ShZVfXYdW`bUthRofSkdSfbTsZgp_dn_bk_`i`Zf\ `Xd`V_hd`fb`e`adZacYbbWbaUXcGYbIZbK_aL_aN`aPa`Qb`S\ C5CLGIUROHfINdLScOYaRsNvoQplTjhWdeZZmYZkZYiZXg_We_\ Vc`U_bp`aha``uh_D50HA5OUz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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start spike forest
by Sebastien Helie 07 Mar '12

07 Mar '12

Today a pretty forest of star spike find in the number PI. start parameter file================================ the_forest { ; calc time 00:00:05.66 reset=2004 type=formula formulafile=2012_4.frm formulaname=ambehav function=sin/conj center-mag=-2.34924/0.822972/8.438819/1/20.9999999999999645/1.0216133494\ 7226123e-013 params=2.71828182845905/0/3.1415926/0 float=y inside=epsiloncross potential=120/200/4 colors=000<5>A0AB0BD0D<2>I0IK0KL2L<4>RFRTITUKU<3>_W_`Z`b`bccchhhmmmssszz\ z<4>lexiawgYw<3>WHuTDtQ9t<3>KHpIKoGMn<3>9Vj<8>dNhhMgkLg<3>zHe<8>QWeLXeHZ\ e<3>0ee<8>RqoUrpXtq<3>hzvhzz<2>hlz00S<6>JJYMMZPP_<3>__c000eee<8>YQUXOTWM\ R<2>TGNSELSEISEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSS\ KQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88\ G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGB\ GGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:ambehav{;sinpix a=real(p1)+imag(p1) b=real(p2)+imag(p2) c=sin(a)/sin(b) z=fn1(pixel): r=z*a s=z*b t=c*sin(z) z=fn2(r*z)*z/s+b*(z^t) |z|<10 } end parameter file================================ -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/

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FOTD 06-03-12 (A Thorny issue [8])
by Jim Muth 06 Mar '12

06 Mar '12

FOTD -- March 06, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's image resembles a crown of thorns, which, because of the season, was the first name that came to mind. Not wanting to risk offending the devoted, I thought another few minutes and named the image "A Thorny Issue." The name refers to both the appearance of the fractal and my indecision in choosing a name. The formula that created the image subtracts 2 parts of Z^(-1.8) from 2 parts of Z^(+0.75) then adds (1/C) on each iteration. This rather strange combination draws a parent fractal that resembles nothing as much as a rubber duck blowing bubbles. Today's scene lies deep in one of the bubbles. This rubber-duck parent fractal is unusual enough to hold further interesting images in its depths. I might again venture into it in the days to come. I rated the image at an 8, which seems a bit more liberal than it deserves. The calculation time of a fireball 45 seconds makes up for the minor lack of artistic value however. Check the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high definition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the past FOTD images are available at: <http://www.Nahee.com/FOTD/> Today brought a mix of sun and clouds to Fractal Central, while the temperature rose from a chilly morning low of 19F -7C to an afternoon high of 43F +6C. The fractal cats decided there was too little sun on their shelf in the southwest window, and spent the afternoon curled on the couch. The humans spent the day just being human, which is sometimes easier said than done. The next FOTD will be posted in 24 hours. The odds are in favor of it appearing on time. Until then, take care, and skeptics are skeptical of non-sensical things they do not wish to be true, while believers believe in things they wish to be true. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Thorny_Issue { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-0.150195366063183/+0.1918500355272384/\ 9e+11/1/55/0 params=2/0.75/-2/-1.8/0/0/0/0 inside=0 maxiter=1000 outside=imag logmap=54 periodicity=6 colors=000000G7FRCEaHElMDvRDuHBuWAzm9u`8uc7dP6vZQw\ Y0xDKyMHwlEwaBwc8weBwgEwiGwkJwmMwoOwqRwsTwuRwwQwyO\ wzNzhMznZztkzzxblwNZv7MvVHWrD5iLD`TLS`TJh`BogBmgAl\ gAjgAifAhfAffAefAdeAbeAae9_e9Zd9Yd9Wd9Vd9Uc9Sc9Rc9\ Qb8Ob8Nb8Lb8Ka8Ja8Ha8Ga8F`8D`7C`7A`79_78_76_75_74Z\ 72Z71Z7BI7AJ7AK79K79L78M78M78N77O77O76P76P76Q75R75\ RS6WX5Ra4Mf3INEO3OTpnmthfwc_zZUqUQhPN_KKRGHPHFOIDM\ IBLJAKK8IK6HL4GL3EP5CS7AW89ZA7bC5eD3iF2lG7jHChIHfJ\ MdKRcKIsDDo98k54g27bBAZJDVRGQ_JMgMIoPEwQNnQVfRcZRk\ ROdXLYaIRgFKlCDr97wBBpCFiDIcFMXGPRHTKIWELQLOKRRFYU\ 9cW4iU3iT3hS3hR3gQ3gP2fO2fN2eM2eL2dK2dI1cH1cG1bFmb\ EmaDmaCm`Bm`Am_9m_8mZNmsLmpJmmHmkFzhDzeBzc9z`zzgxz\ fwzfuzftzfrzeqzeozenzemzdkzdjzdhzdgzdezcdzcczcazc`\ zbZzbmzbmzbmzamzamzamzamzamz`wz`wz`wz`wz_wz_wz_wz_\ wzZwzZwzZwzZwzZwzZwzZwzZwzZzzZzzZzzZzz2zz3zz4zz5zz\ 6zz6zz7zz8zz9zz9zzAzzKzzI } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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double mandel
by Sebastien Helie 06 Mar '12

06 Mar '12

Mandel sturcture building back i also start to have the feeling of it. Pretty double mandel_brot start parameter file=================================== double_mandel { ; comming_back reset=2004 type=formula formulafile=2012_4.frm formulaname=zsweet function=sqr corners=-0.63632/0.63632/-0.47724/0.47724 params=-20/0/10/0 float=y inside=0 potential=120/200/4 colors=000005<8>007008008<3>00A<3>GGOLLRPPVTTYXXa<8>EEMBBK99I<2>33C00A02\ D<7>0Id0Kh0Mk<3>0Vz0GzVVz<3>zVz<3>zVV<3>kNNgLLcJJ<2>TDD<8>F66D55C44<3>50\ 0<8>ZO2aR3dU3<3>rd5<6>Q`NL`QH_S<3>0Xb<2>0ee<8>GQUIOTKMR<2>QGNSELSEHSEE<3\ >SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KS\ QKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8\ AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GF\ BGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:zsweet{;sinpix a=real(p1)+imag(p1) b=real(p2)+imag(p2) z=c=fn1(pixel): q=z^a/2+(z^a-1/2) r=sin(z) s=1/z^a*0.707106*z z=s*q/r+b*c |z|<10 } end parameter file========================= -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/

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FOTD 05-03-12 (FMOD Fantasy [6])
by Jim Muth 05 Mar '12

05 Mar '12

FOTD -- March 05, 2012 (Rating 6) Fractal visionaries and enthusiasts: Today's image rates only a modest 6. Something hard to identify about it leaves me dis-satisfied. Maybe it's the too-bright colors, or the bands, which are too obvious, or maybe it's the slow calculation time of 8 minutes, but whatever it is, it holds the rating firmly to a 6. The parent fractal came about when I combined 2 parts of Z^(0.05) with 2 parts of Z^(3) and added straight C on each iteration. This parent resembles a Mandelbrot set with its west half obliterated and a scattering of debris extending to the north. Today's scene is located rather deep in the north side of what remains of the ruined M-set's East Valley. The image consists mostly of bluish bands, which are actually inside stuff brought to life by the 'fmod' inside option. The outside parts can be identified by their reddish and peach-like coloring. The calculation time is slow, and I cannot guarantee that the result will always be worth the effort, but the FOTD web sites are always there to make life easier. So join the trendy set and avoid the hassle. Check the finished image posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and all the past images are available at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds made a picturesque scene here at Fractal Central today, though the temperature of 41F +5C was too chilly for a preview of spring. The fractal cats paid little attention to the outside weather as they spent the afternoon trying to settle some kind of quarrel between themselves. FL and I, the house humans, spent some time paying bills, and the rest of the day doing routine things. The next FOTD will be posted in 24 hours. Until then, take care, and cling to the classic Newtonian view of the universe or get your foundation pulled out from under you by the incomprehensible discoveries of present-day physics. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= FMOD_Fantasy { ; time=0:08:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-1.6288960207/+0.0009464414/78919/1/\ -135/0 params=2/0.05/2/3/0/0/0/0 maxiter=1200 inside=fmod proximity=0.1 periodicity=6 colors=000lLfhKhdJj`IlXHnUGps8SjSQbjP`gVZd_XbeV_jT\ XpSVuUUkWTbYTU_SLaSC_8lNVsHSnCQi6Nd1L`5TV8_PCfKFmE\ It9JlBJeCKYEKRFLJHLCIL5JIDWFLhCTuJYtQbtXgscksjprqu\ rwyrrsnmnjhifdcb_ZZVUVRPSJT4FYnGPgHHaI8VI0PF2NC4MA\ 6L78J4AI2CH7IKCKUOKcUKmAScAScAScAScAScAScAVcAXcAZc\ AacAacKWXQbYWiZap_fv`glfgbkgUpgKugBzhCrhDjhEchFWhJ\ OhKHjOKkPNmOQnTToXWqaZrcasddrbcq_bqWaqOaoL`nI_nK_q\ RgsYoqdlokimmfkociq`gsYfuWiRebOiWLlPIoIFrCCu000FE8\ CD79D7MPHZ`QjlZfhWZeTiVQgLHdJG`KFYJEVIDSHCPHBLGAIF\ 9000k8Xq6gnChlHhjNhhShfPgdNfbKe`IeZGdXDcVBbU9bSKWR\ UPQcJPmCOw6LsCJpHGmMEjRCfW9c`7`ezYjq6Nj7RZ7VDLQEYM\ FkIGxEGTfQLR_EBeBM000000i_afYZcXXaVVZTSWRQUPOROLOM\ JMKHJIEGGCDE9EFAFGAFGAGHAHHAHIAIJAIJAJKAKKBKLBLMBM\ MBMNBNNBNOBOOBPPBPQBQQCRRCRRCSSCSTCTTCUUCUUCVVCVVC\ UWDTXESXFRYFQZGPZHO_HN_IM`JLaJKaKJbLNfKJbL000CET8H\ W4JZ0Ma0Oc3Sd9VdFZhLfpRmw } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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up and down
by Sebastien Helie 05 Mar '12

05 Mar '12

I taught just to add a stairway to Jim experiment. START PARAMETER FILE=============================== STAIRWAY { ; TO HOT reset=2004 type=formula formulafile=2012_3.frm formulaname=static center-mag=-1.23975e-005/1.061e-005/3.876101/1/-90/3.88578058618804789e-\ 016 params=0.01/0/0.0001/0 inside=0 potential=120/200/4 colors=0000000e00eee00<8>HPPFRRCUU<3>0ee<8>IHqKFrMCt<3>V0zj0zz0z<3>z00<3\ >zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zVV<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3\ >zhhzlhzqh<6>qlgokgnjg<2>jhfhgfegf<7>IffFffCff<3>0ee<8>GQWIOVKMT<2>QGQSE\ OSELSEHSEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOS\ KMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8\ GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGB\ DGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:static{;sinpix a=real(p1)+imag(p1) b=real(p2)/2+imag(p2)/2 z=pixel: q=(-z)/(a+b) i=-q+z z=i^q+z+pixel |z|<4 } END PARAMETER FILE================================= -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/ do you best no madder what is incomming do your worst to feel bad. bad and feel good go well long together.. BES TAUGHT generous like a sun

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simple serie
by Sebastien Helie 05 Mar '12

05 Mar '12

Since it seem to speake thru my color map, i take great care about reading everything.... here the info could be the serie mmm who represent executable thru google, this one Dr color is quite silent. The web i usually used is down and it may be cause of us. Too bad i cannot speake with the administrator. Since i react like a bird on another line i took lot's of sleep and let my computer digest everything, fractal art for me is everyknow and then super intense, their is moment i loose my head a little 4% of crasyness i think it's generaly good i only feel shy about. 2_4_8_3 is just a representation of exponentionality, the serie stop at 8, 3 in the name is simply a no-sense... start parameter file========================================= 2_4_8_3 { ; SERIE reset=2004 type=formula formulafile=2012_3.frm formulaname=silz center-mag=-1.37731/-0.0500731/0.3787878/1/-90/3.88578058618804789e-016 params=-0.1/0/-2/0/-0.1/0 inside=epsiloncross potential=120/200/5 colors=000<43>000000000<2>000000222<7>PPPRRRUUU<3>eee<9>MMM<3>EEEBBBDDD<\ 3>PPPRRRUUU<3>eee<8>IHJFFGCCD<2>435102101101000<8>0GG0II0KK<3>0SS<2>07SE\ ES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKKS<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQ\ SKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3>G00<3>GG0<3>0G0<3>0GG<2>04G88G<\ 2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGG\ BFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBGGBFGBDGBCG000<6>000 } frm:silz{;sinpix a=real(p1)+imag(p1) b=real(p2)+imag(p2) c=real(p3)+imag(p3) z=pixel: r=1/z^a q=(z/r^b) t=z-1^a z=z^t+z*r+z/q+c |z|<10 } end parameter file=============================================== -- most attached file or result are positively balance at :https://sites.google.com/site/sinpix12823fractal/ do you best no madder what is incomming do your worst to feel bad. bad and feel good go well long together.. BES TAUGHT generous like a sun

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FOTD 03-03-12 (Ring Around Eleven [6])
by Jim Muth 05 Mar '12

05 Mar '12

FOTD -- March 03, 2012 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a hastily done tweaking of an image originally posted several years ago. Since it is a re-used image, I could rate it no higher than a 6. But the image is not as poor as the rating implies. The colors have been improved and the cropping changed, making it at least a pseudo-new image. On its surface, the parent fractal is a Mandelbrot set, while in its depths it is an order-11 fractal. Today's scene lies on a side shoot of the western branch of the filament extending from the large northern bud of the parent M-set. It is located a short distance east of the East Valley of the large minibrot on the filament. The image clearly shows the 4-way quadratic symmetry around the outer part of the fractal, while the inner part shows order-11 symmetry. The 4-way symmetry is imperfect however. A close examination of the four outer filamentary complexes reveals small irregularities, the most obvious of which are the 9 small white dots surrounding the outer edge of the donut ring. I have no idea how the number 9 fits into the mathematics of the image. All I can make of it is that the number 9 lies between 4 and 11. (Inside the donut ring, all is in order, with the proper 11 white dots.) The name "Ring Around Eleven" refers to the fractal ring encircling the minibrot at the center, looking almost like a bluish donut divided into 11 raspberry-filled segments. The image might not be a fully new one, but it is still worth the thrifty 30 seconds required to finish the calculation and stand in awe of the image. The official FOTD web site with the already calculated image may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The image is posted in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire collection of FOTD back images is at: <http://www.Nahee.com/FOTD/> The day began cloudy here at Fractal Central, but patches of blue appeared by mid-morning, and by noon it was sunny. The temperature of a mild 54F 12C would have given a preview of spring if the winds had not been so brisk. The fractal cats presumably spent the afternoon in the sun. The humans spent the afternoon at a very atmospheric antique emporium. By the time we left the shop, we were rather spaced out by the intense aura radiating from the genuine 200-year-old stuff we saw there. We are now un-spaced, so the next FOTD, the one for March 5, will be posted in 24 hours. There will be no FOTD for March 4. Until then, take care, and Einstein claimed that God does not play dice with the universe. But then, who was Einstein to tell God what to do? (Einstein has since been proved wrong. It appears that God does play dice.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ring_Around_Eleven { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=-0.1500652732064654/+1.02814534759123/\ 1.549192e+012/1/5/0 params=11/1e+020 periodicity=6 maxiter=400 inside=0 logmap=48 mathtolerance=0.05/1 colors=000zzznwzfozakxSjnSipPipQhpRgmSeiTceUacV``W\ _YXYWTXTTVRUTOURMSPJQLHNIEKFCGDADC9BB6AAAEA2MB2TF2\ aL2jQ2oV2s`2xe2zn2zu2zuLzoczovrjufeuWaubH`c0Ga0I_0\ JY2LX4MV6OT8PSARQBSODTNFVLHWJJYILZGN`EPaDQbEPcEOcz\ NczMczLczKczJczKbzLbzLbzMbzNbzPbzQbzJ`zNazRbzVczZc\ zbdzfezjfznfz_WzMMz8CzEGz0CzJJzbCzcJzdQzeWzfbzgizj\ sziqzhozgnzflzejzolzjjzeizagzXfzSdzOczJazF`zJYzMWz\ ZDzWHzSLzPPzMTzJXzKbzKhzLnzLtzJrzIpzHozGmzFkzEjzD_\ zDQzDGzAEz8Cz6AzFIzOQzuxzSZzNZzIZzDZz8Zz3Zz0Zz0Sz1\ Mz2Fz39z33z79zAEzDKzGPzJVzM_zPezSjz0kz2iz9gzGfzNdz\ Ubz_azNSzBJz0Az9JzISzR`z_izhqzijziczjYzjRzjLzjIzjF\ zaDzUBzM9zE7z65z03z0Cz0Kz1Sz2_z3gz52z4Cz3Mz2Wz2dz9\ azF_zMXzSVzZTzdQzkOzqMzlOzhPzcRz_SzWUzRVzNXzKWzJYz\ IZzH_zG`z0vz8kzGazOSzZCzWIzKCzPIzUOzZUzc_zhezmkzrr\ zqqzqpzqozqnzqmzqlzqkzLoztmzqjzohzmfzkdzW9zVDzVHzV\ LzVPzUTzUXzU`zUdzP`zKXzJZ } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 02-03-12 (Eternal Longing [No Rating])
by Jim Muth 02 Mar '12

02 Mar '12

FOTD -- March 02, 2012 (No Rating) Fractal visionaries and enthusiasts: The name of today's image came about when I watched a program on the Science Channel last evening about the possibility of human- ity gaining physical immortality through science and advanced technology, which is the only kind of immortality Atheists and skeptics can believe in. (The faithful need no technological miracles. They already have the immortality of their eternal souls.) The TV program presented several ways physical immortality might be achieved, none of which, in my opinion, have a ghost of a chance of working ;-) . But the program did reveal the deep longing in the human spirit for something more than the few morsels of satisfaction we might manage to dredge up in this meager and ultimately meaningless lifetime. The name of today's image is "Eternal Longing", which recognizes this instinctive sense of something missing. In my imagination, I saw the image as a gateway to whatever one might suppose comes after their final breath. The fact that I showed light instead of darkness on the other side of the doorway could be a hint of my own personal beliefs, though I doubt that any Atheist or deeply religious person would agree with my view of things. The image is a scene in the (-Z)^(1.234)+C Julibrot, sliced at an angle double rotated halfway from the Mandelbrot to the Julia orientations. (Double rotation can happen only in 4-D hyper- space when a 4-D object rotates around a point.) I gave the image no rating, since it is another blast from the past, transferred from an early experimental 4-D formula to the SliceJulibrot5 formula that I use today. The calculation time of 1-1/3 minutes is quite brief, certainly much shorter than eternity. The day began sunny enough here at Fractal Central, but the clouds thickened as morning progressed, and by midday it was obvious that the fine weather would not last. By afternoon it had turned into another cloudy day, with a forecast of rain to soon arrive. The temperature of 50F 10C was pleasant enough for the fractal cats, who never concern themselves about what comes next, and seemed to know early that they would not have all the sun they would have liked. The humans had an average day, which probably seemed quite satis- factory to the cats. The next FOTD is due in 24 hours, but tomorrow is Saturday, and antiquing expeditions do happen on Saturdays, so if the FOTD doesn't appear until Sunday, don't be concerned. Until whenever, take care, and at the quantum level, two mutually exclusive things can both be true at the same time, so maybe, in some way we cannot understand, the scientific view of no hereafter and the religious view of heaven (or whatever) are both correct. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Eternal_Longing { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 center-mag=1.24128/0/\ 0.2592221/1.3363/90/0 params=45/0/45/0/1/0/0/0/\ 1.234/27 float=y maxiter=32767 inside=255 logmap=yes periodicity=6 colors=00000000000200400620840A60A80CA0DE0FJ0FW0Fd\ 0Fm0FzNGzmHzdIuKKs7LlLKmYKzkKzxKzoRmfXcYcKPiIHoOGk\ UFgZEbdDZjCVpBRuANhDXVHfIKpMJcQISTR1MQ2EO47N5EM8LL\ BRJDYIGdHJjGMqFPwERsFVnGYjHaeIdaJgdKfgKeiLdlLcnLbp\ MasMbuMclNdcNeVOfMOgEbh7piG`jOMkSUlXbm`jndroTbpGNq\ 47rNIseTthQukMvnJwqFxtCyw9zy6zmEzbNzRVz_OziIzrBzaO\ zM_ztJzBOzV_znjzcjzUizJizLozKbzIPzHCzRIzaOzkUzdTzY\ SzQQzJPzMOzPNzSMzVLzbVzjczrmzzvzwkzt_zqPzXczCqzyNz\ sqznfzfXzZNzQCzI2zH2zG2zE2zD2z8Cz4MzBWzIdzQazZZzfW\ zhLziBzj1zjHzjYzjmzahzUbzLYzWNzfCzdPz_PzUQzPQzgTz8\ MzPPzfTzwWz8AzMEzDEz67zrQz_HzI8ztpzSQz0nz0PzCEz89z\ 44zyrzVRzUtzMfzFSz7EzHHzoLzHAzB6z53zd8zv5zTizMYzEN\ z7BzbXzliz3yz1Vz5pz2QzMqz1XzIkzCWz6Gzd9zV7zK4zA2z_\ bzRTzIJz99zjszZezNSzBEzJHzEDz98z44zS8zajzJNzmbz`Tz\ PJzC9zBCz56zV5zN4zF2z71zJRzCIz69ztizSNzfzzt2zf1zS1\ zE0zX3zG1z9Sz7Lz4Ez27zzzz } frm:SliceJulibrot5 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=(-z)^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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